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Finding the Fourth Proportional to 438,712.80, 658,069.20 and 272,824.80

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Solution

The fourth proportional to 438,712.80, 658,069.20 and 272,824.80 is: 409,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,712.80 : 658,069.20 = 272,824.80 : x
  2. Step 2: Convert to fraction form
    438,712.80/658,069.20 = 272,824.80/x
  3. Step 3: Cross multiply
    438,712.80x = 658,069.20 × 272,824.80
  4. Step 4: Simplify right side
    438,712.80x = 179,537,597,876.16
  5. Step 5: Solve for x
    x = 179,537,597,876.16/438,712.80
  6. Step 6: Final answer
    x = 409,237.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.